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Finding the Fourth Proportional to 4,338.72, 6,502.32 and 2,026.08

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Solution

The fourth proportional to 4,338.72, 6,502.32 and 2,026.08 is: 3,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.72 : 6,502.32 = 2,026.08 : x
  2. Step 2: Convert to fraction form
    4,338.72/6,502.32 = 2,026.08/x
  3. Step 3: Cross multiply
    4,338.72x = 6,502.32 × 2,026.08
  4. Step 4: Simplify right side
    4,338.72x = 13,174,220.51
  5. Step 5: Solve for x
    x = 13,174,220.51/4,338.72
  6. Step 6: Final answer
    x = 3,036.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.